@article{article_1516337, title={Hill Cipher with r-Circulant Matrices}, journal={Journal of Engineering Technology and Applied Sciences}, volume={10}, pages={21–27}, year={2025}, DOI={10.30931/jetas.1516337}, author={Dalkılıç, Şeyda and Kepekçi, Ahmet Eren and Baştürk, Muhammed Zekeriya}, keywords={Hill cipher, r-circulant matrices, cryptology, algorithm}, abstract={The Hill cipher, a historic symmetric encryption method, has limitations in contemporary cryptography. This study explores enhancing its security by incorporating r-circulant matrices. Existing literature employs circulant matrices within the Hill cipher. In this study we propose a novel encryption algorithm that employs r-circulant matrices with the objective of increasing the algorithm’s complexity and resistance to cryptanalysis. The developed algorithm demonstrably achieves a more secure and intricate encryption process which is supported by comparisons and numerical data. Once the algorithm has been identified, it is translated into a computer code and implemented as a program in the Python software language.}, number={1}, publisher={Muhammet KURULAY}